{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Linear Array Antennas\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The antenna patterns associated with single elements typically have low values of directivity and wide beamwidths.  In many radar applications it is desirable to have an antenna with a narrow beamwidth (high directivity).  This allows the radar to focus energy on the target of interest and to increase angular resolution.  To increase the directivity requires an increase in the electrical size, $D/\\lambda$, of the antenna.  While increasing the size of a single element does increase the directivity, another method is to assemble single-element antennas into a geometrical pattern, as shown in Figure 3.15.  Such a multi-element antenna is referred to as an **array**.  Arrays are usually constructed of identical individual elements, although this is not necessary.  The total field radiated by an array is the vector addition of the field radiated by individual elements.  It is assumed the current distribution on each element is the same as if the element were isolated.  A typical N-element linear array is shown in Figure 3.17.  Sections 3.2.5.1 - 3.2.5.5 cover various linear array designs given in the keyword argument 'window_type' below.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the frequency (Hz), number_of_elements, scan_angle (degrees), element_spacing (m), and side_lobe_level (dB) (for Tschebyscheff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = 300e6\n",
    "\n",
    "number_of_elements = 31\n",
    "\n",
    "scan_angle = 125\n",
    "\n",
    "element_spacing = 0.25\n",
    "\n",
    "side_lobe_level = -30"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the angular span (radians) using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace, radians\n",
    "\n",
    "from scipy.constants import pi\n",
    "\n",
    "theta = linspace(0.0, pi, 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the window type (Uniform, Binomial, Tschebyscheff, Kaiser, Blackman-Harris, Hanning, or Hamming)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "window_type = 'Tschebyscheff'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'number_of_elements': number_of_elements,\n",
    "\n",
    "          'scan_angle': radians(scan_angle),\n",
    "\n",
    "          'element_spacing': element_spacing,\n",
    "\n",
    "          'frequency': frequency,\n",
    "\n",
    "          'theta': theta,\n",
    "\n",
    "          'window_type': window_type,\n",
    "\n",
    "          'side_lobe_level': side_lobe_level}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the array factor for the type of linear array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.antenna.array import linear_array\n",
    "\n",
    "af = linear_array.array_factor(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dispay the array factor using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from numpy import degrees, log10, finfo\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Create the line plot\n",
    "\n",
    "plt.plot(degrees(theta), 20.0 * log10(abs(af) + finfo(float).eps), '')\n",
    "\n",
    "\n",
    "\n",
    "# Set the y axis limit\n",
    "\n",
    "plt.ylim(-80, 5)\n",
    "\n",
    "\n",
    "\n",
    "# Set the x and y axis labels\n",
    "\n",
    "plt.xlabel(\"Theta (degrees)\", size=12)\n",
    "\n",
    "plt.ylabel(\"Array Factor (dB)\", size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Linear Array Antenna Pattern', size=14)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
